Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480de |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2183500800 = 210 · 38 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325,-325] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:45:1] |
Generators of the group modulo torsion |
j |
3718856704/2132325 |
j-invariant |
L |
6.102558790557 |
L(r)(E,1)/r! |
Ω |
1.2199026720555 |
Real period |
R |
0.62531205668588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480r1 3120n1 37440ej1 62400eh1 |
Quadratic twists by: -4 8 -3 5 |